Convergence dans $L^p (R^{n+1})$ de la solution de l'équation de Klein-Gordon vers celle de l'équation des ondes

DOI10.5802/afst.629zbMath0645.35066OpenAlexW2320568834MaRDI QIDQ3788400

Alain Bachelot

Publication date: 1986

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1986-1987_5_8_1_37_0

zbMATH Keywords

convergencewave equationKlein-Gordon equationinverse scattering problemcontinuity of the solution

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions ⋮ Multidimensional inverse scattering for the nonlinear Klein-Gordon equation with a potential ⋮ Inverse scattering on the line for the nonlinear Klein-Gordon equation with a potential

Cites Work

• Nonlinear scattering theory at low energy
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Sur les distributions invariantes dans le groupe des rotations de Lorentz
• Interpolation of Linear Operators
• Dispersion for non-linear relativistic equations. II
• On a nonlinear scattering operator
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